Triangle calculator SAS
Acute scalene triangle.
Sides: a = 90 b = 100 c = 95.39439201417Area: T = 3897.114431703
Perimeter: p = 285.3943920142
Semiperimeter: s = 142.6976960071
Angle ∠ A = α = 54.79112808971° = 54°47'29″ = 0.9566288253 rad
Angle ∠ B = β = 65.20987191029° = 65°12'31″ = 1.13881068494 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad
Height: ha = 86.60325403784
Height: hb = 77.94222863406
Height: hc = 81.70657169103
Median: ma = 86.74767578645
Median: mb = 78.10224967591
Median: mc = 82.31103881658
Inradius: r = 27.31104228366
Circumradius: R = 55.07657054729
Vertex coordinates: A[95.39439201417; 0] B[0; 0] C[37.7388254122; 81.70657169103]
Centroid: CG[44.37773914212; 27.23552389701]
Coordinates of the circumscribed circle: U[47.69769600708; 27.53878527364]
Coordinates of the inscribed circle: I[42.69769600708; 27.31104228366]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.2098719103° = 125°12'31″ = 0.9566288253 rad
∠ B' = β' = 114.7911280897° = 114°47'29″ = 1.13881068494 rad
∠ C' = γ' = 120° = 1.04771975512 rad
Calculate another triangle
How did we calculate this triangle?
1. Calculation of the third side c of the triangle using a Law of Cosines

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS.

2. The triangle circumference is the sum of the lengths of its three sides

3. Semiperimeter of the triangle

4. The triangle area using Heron's formula

5. Calculate the heights of the triangle from its area.

6. Calculation of the inner angles of the triangle using a Law of Cosines

7. Inradius

8. Circumradius
